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Finding the Fourth Proportional to 1,237.64, 1,707.90 and 713.56

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Solution

The fourth proportional to 1,237.64, 1,707.90 and 713.56 is: 984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.64 : 1,707.90 = 713.56 : x
  2. Step 2: Convert to fraction form
    1,237.64/1,707.90 = 713.56/x
  3. Step 3: Cross multiply
    1,237.64x = 1,707.90 × 713.56
  4. Step 4: Simplify right side
    1,237.64x = 1,218,689.12
  5. Step 5: Solve for x
    x = 1,218,689.12/1,237.64
  6. Step 6: Final answer
    x = 984.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.